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Finding the Third Proportional to 549,234 and 1,157,517

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Solution

The third proportional to 549,234 and 1,157,517 is: 2,439,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,234 : 1,157,517 = 1,157,517 : x
  2. Step 2: Convert to fraction form
    549,234/1,157,517 = 1,157,517/x
  3. Step 3: Cross multiply
    549,234x = 1,157,517 × 1,157,517
  4. Step 4: Simplify right side
    549,234x = 1,339,845,605,289
  5. Step 5: Solve for x
    x = 1,339,845,605,289/549,234
  6. Step 6: Final answer
    x = 2,439,480.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.